DIFFERENTIAL GEOMETRY FROM QUANTUM FIELD THEORY
نویسندگان
چکیده
منابع مشابه
Quantum Field Theory and Differential Geometry
We introduce the historical development and physical idea behind topological Yang-Mills theory and explain how a physical framework describing subatomic physics can be used as a tool to study differential geometry. Further, we emphasize that this phenomenon demonstrates that the interrelation between physics and mathematics have come into a new stage.
متن کاملDiscrete Differential Geometry and Lattice Field Theory
We develope a difference calculus analogous to the differential geometry by translating the forms and exterior derivatives to similar expressions with difference operators, and apply the results to fields theory on the lattice [Ref. 1]. Our approach has the advantage with respect to other attempts [Ref. 2-6] that the Lorentz invariance is automatically preserved as it can be seen explicitely in...
متن کاملTopological quantum field theory and hyperkähler geometry
where we regardX as a complex manifold with respect to some choice of complex structure compatible with the hyperkähler metric (precisely how these spaces depend on this choice is a subtle matter). ForX a K3 surface, Rozansky and Witten investigated the cases g = 0 and g = 1, and exhibited an action of the mapping class group in the latter case. There is a modified TQFT constructed by Murakami ...
متن کاملFrom stochastic differential equations to quantum field theory
Covariant stochastic partial (pseudo)-differential equations are studied in any dimension. In particular a large class of covariant interacting local quantum fields obeying the Morchio-Strocchi system of axioms for indefinite quantum field theory is constructed by solving the analysed equations. The associated random cosurface models are discussed and some elementary properties of them are outl...
متن کاملQuantum Gravity as a quantum field theory of simplicial geometry
This is an introduction to the group field theory approach to quantum gravity, with emphasis on motivations and basic formalism, more than on recent results; we elaborate on the various ingredients, both conceptual and formal, of the approach, giving some examples, and we discuss some perspectives of future developments.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2013
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887813500035